# Corresponding angles

The word **angle** is a concept of the area of **geometry** that is used to refer to the **space** comprised between the **intersection** of two **lines** which start from the same point or vertex, and which is measured in **degrees** . In other words, we could say that an angle is the **opening** that exists between two lines or segments. There are many types of angles, including **corresponding angles** . In all **geometric figures** where there are lines, there will also be **angles**They can be related in terms of their dimensions and their position within the plane. The Corresponding Angles **Postulate** explains that when two **parallel ****lines** are **cut** by a **transverse** line , the resulting corresponding angles are **congruent** .

## What are corresponding angles?

The corresponding angles are two angles that, in two **lines** that have been **cut** by a **transversal** , are on the same side of the transversal but one of them is **internal** and the other **external** to the two lines.

- Definition
- features
- Corresponding angles between parallels
- How much
- Examples of corresponding angles

## Definition

The corresponding angles are those that are located on the same side of the place where the **secant** is located . One of them is located in the **inner region** and the other is located in the **outer region** . They are angles that do not have a **vertex** in common. The corresponding angles are those found on the same side where the **parallels meet** and on the same side where the transversal is.

## features

The main characteristics of the corresponding angles are the following:

- In the corresponding angles, one is
**internal**and the other is**external**to the two lines. - The two lines that intersect to give origin to the corresponding angles are
**parallel**if and only if the corresponding angles are**congruent**or equal. - They are located on the same side that the
**parallels**are located. - They are angles that arise when there are
**parallel lines.** - The corresponding angles have their
**vertices** - This type of angle cannot be
**adjacent**.

## Corresponding angles between parallels

When we have two lines that intersect, we then say that those two lines are **secant** . At the moment in which they are cut, they can form or determine 4 different angles. But those angles meet or are **related to** each other, so if we knew how much any one of those angles is, we could then immediately determine the other three.

When two **parallel lines** are cut by another parallel line as well, which on this occasion we will know as the **transverse line** , 8 different angles are formed. These eight angles are also closely **related to** each other, so that when we get to know one of them we can find out what the others are worth.

The **relative position** that the angles have with respect to the lines causes those angles to have specific names in order to make a difference between them. It is for this reason that we call by the name of **angles corresponding** to those that are located on the same **side** of the **parallels** and on the same side also on the same side as the **transversal** line .

## How much

When we refer to the measures that the corresponding angles have, we can say that the corresponding angles are angles that have their measures exactly the **same** , that is, the angles that are within this category will always measure the same. It is for this reason that when we can find and know the measure of an angle at an **intersection** , we can also know the measure of its **corresponding angle** at the second intersection, since it will be exactly the same.